Issolvi {left(1/3right)}^2+{left(1/3right)}^-2+{left(-1/3right)}^3+3^-2

$${ \left( \frac{ 1 }{ 3 } \right) }^{ 2 } + { \left( \frac{ 1 }{ 3 } \right) }^{ -2 } + { \left(- \frac{ 1 }{ 3 } \right) }^{ 3 } + { 3 }^{ -2 }$$

Evalwa

$$\frac{248}{27}\approx 9.185185185$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{1}{3} bil-power ta' 2 u tikseb \frac{1}{9}.

$$\frac{1}{9}+\left(\frac{1}{3}\right)^{-2}+\left(-\frac{1}{3}\right)^{3}+3^{-2}$$

Ikkalkula \frac{1}{3} bil-power ta' -2 u tikseb 9.

$$\frac{1}{9}+9+\left(-\frac{1}{3}\right)^{3}+3^{-2}$$

Żid \frac{1}{9} u 9 biex tikseb \frac{82}{9}.

$$\frac{82}{9}+\left(-\frac{1}{3}\right)^{3}+3^{-2}$$

Ikkalkula -\frac{1}{3} bil-power ta' 3 u tikseb -\frac{1}{27}.

$$\frac{82}{9}-\frac{1}{27}+3^{-2}$$

Naqqas \frac{1}{27} minn \frac{82}{9} biex tikseb \frac{245}{27}.

$$\frac{245}{27}+3^{-2}$$

Ikkalkula 3 bil-power ta' -2 u tikseb \frac{1}{9}.

$$\frac{245}{27}+\frac{1}{9}$$

Żid \frac{245}{27} u \frac{1}{9} biex tikseb \frac{248}{27}.

$$\frac{248}{27}$$

Fattur

$$\frac{2 ^ {3} \cdot 31}{3 ^ {3}} = 9\frac{5}{27} = 9.185185185185185$$